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Finding the Fourth Proportional to 1,561.00, 2,154.08 and 897.88

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Solution

The fourth proportional to 1,561.00, 2,154.08 and 897.88 is: 1,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.00 : 2,154.08 = 897.88 : x
  2. Step 2: Convert to fraction form
    1,561.00/2,154.08 = 897.88/x
  3. Step 3: Cross multiply
    1,561.00x = 2,154.08 × 897.88
  4. Step 4: Simplify right side
    1,561.00x = 1,934,095.48
  5. Step 5: Solve for x
    x = 1,934,095.48/1,561.00
  6. Step 6: Final answer
    x = 1,239.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.